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Finding the Fourth Proportional to 196.16, 292.32 and 184.60

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Solution

The fourth proportional to 196.16, 292.32 and 184.60 is: 275.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.16 : 292.32 = 184.60 : x
  2. Step 2: Convert to fraction form
    196.16/292.32 = 184.60/x
  3. Step 3: Cross multiply
    196.16x = 292.32 × 184.60
  4. Step 4: Simplify right side
    196.16x = 53,962.27
  5. Step 5: Solve for x
    x = 53,962.27/196.16
  6. Step 6: Final answer
    x = 275.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.